The sides of the triangle are 3x, 4x and 5x
3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5
first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm
Step-by-step explanation:
Start by finding (fog)(x)
To find this function, substitute x=
x−1
4
That is g(x) into f(x)
⇒(f∘g)(x)=(
x−1
4
)
2
−2(
x−1
4
)+5
=
(x−1)
2
16
−
x−1
8
+5
Now substitute x=3
⇒(f∘g)(3)=
(3−1)
2
16
−
3−1
8
+5
=
4
16
−
2
8
+5=4−4+5=5.
Hope it helps:)
mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .
<u>Step-by-step explanation:</u>
Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest . Let's find out:
Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.
⇒ ![\frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600](https://tex.z-dn.net/?f=%5Cfrac%7B8000%2812%29%7D%7B100%7D%28x%29%20%2B%5Cfrac%7B2000%288%29%7D%7B100%7D%28x%29%20%3D5600)
⇒ ![\frac{8000(12)+2000(8)}{100}(x) =5600](https://tex.z-dn.net/?f=%5Cfrac%7B8000%2812%29%2B2000%288%29%7D%7B100%7D%28x%29%20%3D5600)
⇒ ![(80(12)+20(8))(x) =5600](https://tex.z-dn.net/?f=%2880%2812%29%2B20%288%29%29%28x%29%20%3D5600)
⇒ ![(960+160)(x) =5600](https://tex.z-dn.net/?f=%28960%2B160%29%28x%29%20%3D5600)
⇒ ![(1020)(x) =5600](https://tex.z-dn.net/?f=%281020%29%28x%29%20%3D5600)
⇒ ![x =\frac{5600}{1020}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5600%7D%7B1020%7D)
⇒ ![x =5.5](https://tex.z-dn.net/?f=x%20%3D5.5)
Therefore , mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .
bangles scored 22 pts but don't know how much the ravens scored
Answer:
<h2>4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U</h2>
Step-by-step explanation:
In this proble, we defined:
- D represents tens.
- C represents hundreds.
- M represents millions.
- U is units.
So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.
4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U
In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.